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Simplifying 14(t + -6) + 4t = 6(3t + 5) + -12 Reorder the terms: 14(-6 + t) + 4t = 6(3t + 5) + -12 (-6 * 14 + t * 14) + 4t = 6(3t + 5) + -12 (-84 + 14t) + 4t = 6(3t + 5) + -12 Combine like terms: 14t + 4t = 18t -84 + 18t = 6(3t + 5) + -12 Reorder the terms: -84 + 18t = 6(5 + 3t) + -12 -84 + 18t = (5 * 6 + 3t * 6) + -12 -84 + 18t = (30 + 18t) + -12 Reorder the terms: -84 + 18t = 30 + -12 + 18t Combine like terms: 30 + -12 = 18 -84 + 18t = 18 + 18t Add '-18t' to each side of the equation. -84 + 18t + -18t = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 -84 + 0 = 18 + 18t + -18t -84 = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 -84 = 18 + 0 -84 = 18 Solving -84 = 18 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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